A class of stable energy minimisers for the rotating drop problem

Nigel Wilkin-Smith

doi:10.1016/j.jmaa.2006.10.051

A class of stable energy minimisers for the rotating drop problem

Nigel Wilkin-Smith^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We implement variational techniques and an implicit function theorem to derive constraints on angular velocity under which we may verify the existence, boundary regularity, and stability of an energy-minimising family of rotating liquid drops in a neighbourhood of the closed unit ball in R^{n + 1}.

Original language	English
Pages (from-to)	577-606
Number of pages	30
Journal	Journal of Mathematical Analysis and Applications
Volume	332
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2006.10.051
Publication status	Published - 1 Aug 2007

Access to Document

10.1016/j.jmaa.2006.10.051

Cite this

@article{505fac4c58794d0e928095d3431f30ff,

title = "A class of stable energy minimisers for the rotating drop problem",

abstract = "We implement variational techniques and an implicit function theorem to derive constraints on angular velocity under which we may verify the existence, boundary regularity, and stability of an energy-minimising family of rotating liquid drops in a neighbourhood of the closed unit ball in Rn + 1.",

keywords = "Energy minimisation, Rotating drops, Stability",

author = "Nigel Wilkin-Smith",

year = "2007",

month = aug,

day = "1",

doi = "10.1016/j.jmaa.2006.10.051",

language = "English",

volume = "332",

pages = "577--606",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A class of stable energy minimisers for the rotating drop problem

AU - Wilkin-Smith, Nigel

PY - 2007/8/1

Y1 - 2007/8/1

N2 - We implement variational techniques and an implicit function theorem to derive constraints on angular velocity under which we may verify the existence, boundary regularity, and stability of an energy-minimising family of rotating liquid drops in a neighbourhood of the closed unit ball in Rn + 1.

AB - We implement variational techniques and an implicit function theorem to derive constraints on angular velocity under which we may verify the existence, boundary regularity, and stability of an energy-minimising family of rotating liquid drops in a neighbourhood of the closed unit ball in Rn + 1.

KW - Energy minimisation

KW - Rotating drops

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=34147155787&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2006.10.051

DO - 10.1016/j.jmaa.2006.10.051

M3 - Article

SN - 0022-247X

VL - 332

SP - 577

EP - 606

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A class of stable energy minimisers for the rotating drop problem

Abstract

Access to Document

Other files and links

Fingerprint

Cite this